Answer:
Heat required to melt 1 lb of ice is 151.469 KJ
Explanation:
We have given mass of ice = 1 lb
We know that 1 lb = 0.4535 kg
Latent heat of fusion for ice =334 KJ/kg
Amount if heat for fusion of ice is given by
, here m is mass of ice and L is latent heat of fusion
So heat ![Q=mL=0.4535\times 334=151.469kj](https://tex.z-dn.net/?f=Q%3DmL%3D0.4535%5Ctimes%20334%3D151.469kj)
So heat required to melt 1 lb of ice is equal to 151.469 KJ
Speed = distance/time
= 400/72
=5.55 m/s
Answer:
111011
Explanation:
59/2 = 29, remainder is 1
29/2 = 14, remainder is 1
14/2 = 7, remainder is 0
7/2 = 3, remainder is 1
3/2 = 1, remainder is 1
1/2 = 0, remainder is 1
Answer:
m = 0.59 kg.
Explanation:
First, we need to find the relation between the frequency and mass on a spring.
The Hooke's law states that
![F = -kx](https://tex.z-dn.net/?f=F%20%3D%20-kx)
And Newton's Second Law also states that
![F = ma = m\frac{d^2x}{dt^2}](https://tex.z-dn.net/?f=F%20%3D%20ma%20%3D%20m%5Cfrac%7Bd%5E2x%7D%7Bdt%5E2%7D)
Combining two equations yields
![a = -\frac{k}{m}x](https://tex.z-dn.net/?f=a%20%3D%20-%5Cfrac%7Bk%7D%7Bm%7Dx)
The term that determines the proportionality between acceleration and position is defined as angular frequency, ω.
![\omega = \sqrt{\frac{k}{m}}](https://tex.z-dn.net/?f=%5Comega%20%3D%20%5Csqrt%7B%5Cfrac%7Bk%7D%7Bm%7D%7D)
And given that ω = 2πf
the relation between frequency and mass becomes
.
Let's apply this to the variables in the question.
![0.88 = \frac{1}{2\pi}\sqrt{\frac{k}{m}}\\0.60 = \frac{1}{2\pi}\sqrt{\frac{k}{m+0.68}}\\\frac{0.88}{0.60} = \frac{\frac{1}{2\pi}\sqrt{\frac{k}{m}}}{\frac{1}{2\pi}\sqrt{\frac{k}{m+0.68}}}\\1.4667 = \frac{\sqrt{m+0.68}}{\sqrt{m}}\\2.15m = m + 0.68\\1.15m = 0.68\\m = 0.59~kg](https://tex.z-dn.net/?f=0.88%20%3D%20%5Cfrac%7B1%7D%7B2%5Cpi%7D%5Csqrt%7B%5Cfrac%7Bk%7D%7Bm%7D%7D%5C%5C0.60%20%3D%20%5Cfrac%7B1%7D%7B2%5Cpi%7D%5Csqrt%7B%5Cfrac%7Bk%7D%7Bm%2B0.68%7D%7D%5C%5C%5Cfrac%7B0.88%7D%7B0.60%7D%20%3D%20%5Cfrac%7B%5Cfrac%7B1%7D%7B2%5Cpi%7D%5Csqrt%7B%5Cfrac%7Bk%7D%7Bm%7D%7D%7D%7B%5Cfrac%7B1%7D%7B2%5Cpi%7D%5Csqrt%7B%5Cfrac%7Bk%7D%7Bm%2B0.68%7D%7D%7D%5C%5C1.4667%20%3D%20%5Cfrac%7B%5Csqrt%7Bm%2B0.68%7D%7D%7B%5Csqrt%7Bm%7D%7D%5C%5C2.15m%20%3D%20m%20%2B%200.68%5C%5C1.15m%20%3D%200.68%5C%5Cm%20%3D%200.59~kg)
Answer:
The answer is 30 degrees.
Explanation:
The angle between the index and pinky fingers is 15 degrees.
Twice this angle is 2×15=30degrees.